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Finding the Fourth Proportional to 415,625.04, 623,214 and 215,449.20

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Solution

The fourth proportional to 415,625.04, 623,214 and 215,449.20 is: 323,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,625.04 : 623,214 = 215,449.20 : x
  2. Step 2: Convert to fraction form
    415,625.04/623,214 = 215,449.20/x
  3. Step 3: Cross multiply
    415,625.04x = 623,214 × 215,449.20
  4. Step 4: Simplify right side
    415,625.04x = 134,270,957,728.80
  5. Step 5: Solve for x
    x = 134,270,957,728.80/415,625.04
  6. Step 6: Final answer
    x = 323,057.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.